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Finding the Fourth Proportional to 506,972.40, 698,876.54 and 385,902.81

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Solution

The fourth proportional to 506,972.40, 698,876.54 and 385,902.81 is: 531,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,972.40 : 698,876.54 = 385,902.81 : x
  2. Step 2: Convert to fraction form
    506,972.40/698,876.54 = 385,902.81/x
  3. Step 3: Cross multiply
    506,972.40x = 698,876.54 × 385,902.81
  4. Step 4: Simplify right side
    506,972.40x = 269,698,420,629.08
  5. Step 5: Solve for x
    x = 269,698,420,629.08/506,972.40
  6. Step 6: Final answer
    x = 531,978.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.